Exploring multiband tunneling for uncoupled particles: A polynomial view

A new approach based on a polynomial-scattering formalism was developed and exercised for n-cell multi-channel layered heterostructures. The model reproduces the majority of considered experimental measurements, better than prior theoretical results. Closed analytical formulae of scattering quantities for uncoupled particles of multiband-multicomponent systems have been derived; furthermore, long-standing numerical difficulties of the transfer matrix scheme were overcome. We predict the earlier arrival of uncoupled holes and several patterns followed by the transmission rate, the two-probe Landauer total conductance, and the phase time. Anomalous events such as the Ramsauer-Townsend oscillations and the paradoxical Hartman effect of pure holes are confirmed in detail; besides, we predict other appealing structural-dependent features to be tuned as well. For such quasi-particles, we do not find evidence of the generalized Hartman effect. The relevant phase tunneling time limit of bandmixing-free holes when n→∞ has been resolved analytically as well as simulated, and it turns qualitatively comparable with that measured for photons.